DSQ: Graphing a quadratic function

Practice Questions

GMAT Quantitative Reasoning › DSQ: Graphing a quadratic function

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1

The graph of the function $f(x) = Ax^{2} + Bx +C$ is a parabola. Is this parabola concave upward or is it concave downward?

Statement 1:

Statement 2: $B^{2} - 4AC = 16$

2

What is the equation of the line of symmetry of a vertical parabola on the coordinate plane?

Statement 1: The parabola passes through points and .

Statement 2: The parabola passes through the points and .

3

What is the equation of the line of symmetry of a parabola on the coordinate plane?

Statement 1: The vertex of the parabola has -coordinate .

Statement 2: The vertex of the parabola has -coordinate .

4

What is the equation of the line of symmetry of a horizontal parabola on the coordinate plane?

Statement 1: The vertex of the parabola has -coordinate 4.

Statement 2: The vertex of the parabola has -coordinate 9.

5

How many -intercepts does a vertical parabola on the coordinate plane have—zero, one, or two?

Statement 1: The parabola intersects the graph of the equation twice.

Statement 2: The parabola has -intercept .

6

How many -intercepts does a vertical parabola on the coordinate plane have - zero, one, or two?

Statement 1: The vertex of the parabola is .

Statement 2: The -intercept of the parabola is .

7

The equation of a vertical parabola on the coordinate plane can be written in the form

$f(x)= Ax^{2}+ Bx+C$ , real, nonzero.

Is this parabola concave upward or concave downward?

Statement 1: $B^{2}- 4AC = 0$

Statement 2: $- \frac{B}{2A} = 4$

8

The equation of a vertical parabola on the coordinate plane can be written in the form

$f(x)= Ax^{2}+ Bx+C$ , real, nonzero.

Is this parabola concave upward or concave downward?

Statement 1: $B^{2}-4AC =-24$ .

Statement 2: The parabola has -intercept .

9

What is the equation of the line of symmetry of a vertical parabola on the coordinate plane?

Statement 1: The vertex of the parabola has -coordinate 7.

Statement 2: The vertex of the parabola has -coordinate 8.

10

The equation of a vertical parabola on the coordinate plane can be written in the form

$f(x)= Ax^{2}+ Bx+C$ , real, nonzero.

Is this parabola concave upward or concave downward?

Statement 1: $-\frac{B}{2A}= 2$

Statement 2:

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